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development in

Mesopotamia

...wastewater from cities. It is in the roofs of these underground drains that the first surviving true arches in brick are found, a humble beginning for what would become a major structural form. Corbel vaults and domes made of limestone rubble appeared at about the same time in Mesopotamian tombs. Corbel vaults are constructed of rows of masonry placed so...

Sumeria

...Circular brick columns and austerely simplified facades have been found at Kish (modern Tall al-Uhaimer, Iraq). Flat roofs, supported on palm trunks, must be assumed, although some knowledge of corbeled vaulting (a technique of spanning an opening like an arch by having successive cones of masonry project farther inward as they rise on each side off the gap)—and even of dome...

Tiryns

Also justly famed are the concealed galleries of Tiryns, where the primitive
corbel vault (constructed of rows of masonry placed so that each row projects slightly beyond the one below, the two opposite walls meeting at the top) makes its first appearance in mainland Europe.

relationship to corbel arch

...which meet at a peak and create a structure strong enough to support weight from above. Babylonian architecture made wide use of corbel arches. When such arches are used in a series, they become a
corbel vault, which, as in the Mayan style, can support a roof or upper story. Corbel vaults and arches were useful in cultures that had not yet developed curving arches and other ceiling structures....